document.write( "Question 110213: A recreational softball team paid a league entry fee of $825. The cost was covered by equal contributions from each memeber on the team. If there were four more team members, each person could contibute $20 less. How many memebers does the team have?\r
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document.write( "i tried to write an equation... i made \"x\" be the money the players were contributing and \"p\" be the number of players\r
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document.write( "since it said the fee was split evenly, i put 825/x = p.
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document.write( "also, i had (p+4) = 825/(x-20) because if there were four more players they would have to pay $20 less than before. After that, i could understand how you were able to figure out how many members the team had. Could you help me please?\r
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document.write( "Thanks a lot tutor! \n" );
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Algebra.Com's Answer #80289 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A recreational softball team paid a league entry fee of $825. The cost was covered by equal contributions from each memeber on the team. If there were four more team members, each person could contibute $20 less. How many memebers does the team have? \n" ); document.write( "i tried to write an equation... i made \"x\" be the money the players were contributing and \"p\" be the number of players \n" ); document.write( "since it said the fee was split evenly, i put 825/x = p. \n" ); document.write( "also, i had (p+4) = 825/(x-20) because if there were four more players they would have to pay $20 less than before. After that, i could understand how you were able to figure out how many members the team had. Could you help me please? \n" ); document.write( "-------------- \n" ); document.write( "You have 825/x as the average cost per member at the start. \n" ); document.write( "-------------- \n" ); document.write( "You have 825/(x+4) as the average cost if there were 4 more members. \n" ); document.write( "----------------- \n" ); document.write( "EQUATION: \n" ); document.write( "Old Average - New average = $20 \n" ); document.write( "825/x - 825/(x+4) = 20 \n" ); document.write( "4*825 = 20x(x+4) \n" ); document.write( "825 = 5x(x+4) \n" ); document.write( "165 = x(x+4) \n" ); document.write( "x^2+4x-165 = 0 \n" ); document.write( "(x+15)(x-11)=0 \n" ); document.write( "x = 11 (original number of members) \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "StanH. \n" ); document.write( " |